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PreprintarXiv licencearXiv

Lyapunov graphs of Non-singular Morse-Smale flows on S1 × S2

  • Fangfang Chen
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Abstract

Following B. Yu's work on Lyapunov graphs of non-singular Smale flows on S1× S2, we characterize the Lyapunov graphs of non-singular Morse-Smale flows on S1 × S2 by using filtrating neighborhoods as the local data attached to the vertices. More precisely, we determine which oriented graphs with vertices labeled by filtrating neighborhoods can be realized as such Lyapunov graphs.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026lyapunov,
  title = {{Lyapunov graphs of Non-singular Morse-Smale flows on $S^1 \times S^2$}},
  author = {Fangfang Chen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02271},
  eprint = {2609.02271},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02271},
}
RIS
TY  - UNPB
TI  - Lyapunov graphs of Non-singular Morse-Smale flows on S^1 × S^2
AU  - Fangfang Chen
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02271
UR  - https://arxiv.org/abs/2609.02271
AB  - Following B. Yu's work on Lyapunov graphs of non-singular Smale flows on S^1× S^2, we characterize the Lyapunov graphs of non-singular Morse-Smale flows on S^1 × S^2 by using filtrating neighborhoods as the local data attached to the vertices. More precisely, we determine which oriented graphs with vertices labeled by filtrating neighborhoods can be realized as such Lyapunov graphs.
ER  -